At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

This prime's information:

field (help) value Description: 315 · 21869119 - 1 Verification status (*): Proven Official Comment: Proof-code(s): (*): L2235 : Mullage, PSieve, Srsieve, NPLB, LLR Decimal Digits: 562664   (log10 is 562663.38277602) Rank (*): 254 (digit rank is 1) Entrance Rank (*): 174 Currently on list? (*): short Submitted: 7/29/2012 15:12:38 CDT Last modified: 7/29/2012 16:20:26 CDT Database id: 108568 Status Flags: none Score (*): 44.8677 (normalized score 7.8161)

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.

field value prime_id 108568 person_id 9 machine RedHat Virtual STEM Server what prime notes Command: /home/caldwell/client/llr.pl 315*2^1869119-1 2>&1 Starting Lucas Lehmer Riesel prime test of 315*2^1869119-1 Using Irrational Base DWT : Mersenne fftlen = 98304, Used fftlen = 131072 V1 = 11 ; Computing U0... V1 = 11 ; Computing U0...done.Starting Lucas-Lehmer loop... 315*2^1869119-1 is prime! Time : 3218.484 sec. [Elapsed time: 53.65 minutes] modified 2012-08-14 21:01:05 created 2012-07-29 15:15:01 id 146721

field value prime_id 108568 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 315 2 1869119 -1 2>&1 [Elapsed time: 10.446 seconds] modified 2012-08-14 21:01:05 created 2012-07-29 15:18:01 id 146722